This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.
Lecture Notes in Mathematics
G. Everest and T. Ward, “Heights of Polynomials and Entropy in Algebraic Dynamics”, Springer Verlag, London, 1999. M. Fekete,“ ̈Uber die Verteilung der Wurzeln bei gewissen algebraische gleichungen mit ganzzahligen Koeffizienten”, Math.
Teichmüller theory in Riemannian geometry. Birkhäuser Verlag, Basel, 1992. Lecture notes prepared by Jochen Denzler. Travaux de Thurston sur les surfaces. Société Mathématique de France, Paris, 1991. Séminaire Orsay, Reprint of Travaux ...
... J. M. G. FELL and R. S. DORAN, Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles, Vol. 1 (General representation theory of groups and algebras), Pure and Applied Mathematics 125, Academic Press, ...
... [61] [62] [63] J. Holden and P. Moree, New conjectures and results for small cycles of the discrete logarithm, High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams, Fields Inst. Commun., vol.
A systematic introduction to the core of smooth ergodic theory.
Given a -dimensional lamination endowed with a Riemannian metric, the author introduces the notion of a multiplicative cocycle of rank , where and are arbitrary positive integers.
This book presents the expanded notes from ten lectures given by the author at the NSF/CBMS conference held at California State University (Bakersfield).
This work celebrates the work of Eberhard Hopf, a founding father of ergodic theory, a mathematician who produced many beautiful, elegantly written, and now classical results in integral equations and partial differential equations.